Question

A video game club charges a fixed annual membership fee of $20 and $2 per video game rented. Let f(n) represent the total annual cost of renting n video games. Which of the following functions best represents the relationship between f(n) and n if the membership was increased by $15 the next year?f(n) = 2n + 35 f(n) = 20n + 2 f(n) = 10n + 35 f(n) = 2n + 10

Answer 1

Answer: $f(n)=2n+35$

Step-by-step explanation:

Given : Let f(n) represent the total annual cost of renting n video games.

A video game club charges a fixed annual membership fee of $20 and $2 per video game rented.

Then the total annual cost is given by :-

$f(n)=20+2n$

If the membership was increased by $15 the next year , then the total cost in next years will be :-

$f(n)=20+2n+15\\\\\Rightarrow\ f(n)=2n+35$

Hence, the function best represents  the relationship between f(n) and n if the membership was increased by $15 the next year :

$f(n)=2n+35$